321123113130 has 128 divisors (see below), whose sum is σ = 837168203520. Its totient is φ = 78532669440.

The previous prime is 321123113099. The next prime is 321123113137. The reversal of 321123113130 is 31311321123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321123113097 and 321123113106.

It is not an unprimeable number, because it can be changed into a prime (321123113137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3280536 + ... + 3377004.

It is an arithmetic number, because the mean of its divisors is an integer number (6540376590).

Almost surely, 2^321123113130 is an apocalyptic number.

321123113130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321123113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418584101760).

321123113130 is an abundant number, since it is smaller than the sum of its proper divisors (516045090390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321123113130 is a wasteful number, since it uses less digits than its factorization.

321123113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96664.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 321123113130 its reverse (31311321123), we get a palindrome (352434434253).

The spelling of 321123113130 in words is "three hundred twenty-one billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred thirty".